Among 2450 randomly selected male car occupants over the age of 8, 76% wear seatbelts. Among 2900 randomly selected female car occupants over the age of 8, 74% wear seat belts. Use a 0.1 significance level to test the claim that both genders have the same rate of seat belt use. Does there appear to be a gender gap? a. There appears to be a gender gap because there is not a significant difference in the proportions.
b. There does not appear to be a gender gap because there is a significant difference in the proportions.
c. There does not appear to be a gender gap because there is not a significant difference in the proportions.
d. There appears to be a gender gap because there is a significant difference in the proportions.

The correct option is D

Step-by-step explanation:

From the question we are told that

   The sample size for male car occupant is  

   The number that wear seat belt is

   The sample size for female car occupant is

   The number that wear a seat belt is  

Generally the population proportion is mathematically represented as

=>    

=>  

The sample proportion for male  car occupant is  

=>    

=>    

The sample proportion for female car occupant is  

=>    

=>    

The null hypothesis is  

The alternative hypothesis is  

Generally the standard error is mathematically represented as

=>      

=>    

Generally the test statistics is mathematically represented as

=>  

=>  

From the z table  the area under the normal curve to the right  corresponding to  3.37 is  

Generally the p-value is mathematically represented as

From the value obtained we see that    hence  

The decision rule is  

  Reject the null hypothesis

The conclusion is

 There appears to be a gender gap because there is a significant difference in the proportions

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.